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  • 标题:A Note on Predefined-Time Stability ⁎
  • 本地全文:下载
  • 作者:Esteban Jiménez-Rodríguez ; Aldo Jonathan Muñoz-Vázquez ; Juan Diego Sánchez-Torres
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2018
  • 卷号:51
  • 期号:13
  • 页码:520-525
  • DOI:10.1016/j.ifacol.2018.07.332
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractThis note presents a new characterization for predefined-time-stable systems based on Lyapunov stability. In contrast to the previous results in predefined-time stability, the proposed characterization allows the construction of predefined-time stabilizing controllers with polynomial terms instead of exponential ones, removing the exponential nature hypothesis of predefined-time-stable systems. Moreover, the existing Lyapunov characterization of predefined-time stability is shown to be a consequence of the new theorem presented in this paper. Finally, the proposed approach is used for the construction of robust predefined-time stabilizing controllers for first-order systems. A simulation example shows the feasibility of the proposed methods.
  • 关键词:KeywordsPredefined-time stabilityFixed-time stabilitySliding mode controlNonlinear systemsLyapunov’s direct method
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